Question

Algebra: WORD PROBLRM

SOLVING SYSTEMS OF LINEAR EQUATIONS

At the theater, the Garcia family bought 2 adult tickets and 3 children's tickets for $44.50. The Smith family bought 3 adult tickets and 6 children's tickets for $78.
YOU MUST USED SYSTEM OF EQUATIONS TO SOLVE PLEASE SHOW WORK
A. Find the price of an adult ticket and the price of a children's ticket.

Answer 1

`A=Adult`,
`C=Child`


`Garcia:2A+3C=44.5`

`Smith:3A+6C=78`


`A= (44.5-3C)/(2)`


`3( (44.5-3C)/(2))+6c=78`

`66.75-4.5c+6c=78`

`1.5C=11.5`

`C=7.66`


`2A+3(7.66)=44.5`

`2A=21.52`

`A=10.76`

Children's ticket = $7.66
Adult's ticket = $10.76

Sorry it's not as clear as it could be, kinda in a rush